Math, asked by ramanakeerthy1379, 9 months ago

Length of rectangle is 16 cm and diagonal is 20cm. find the breath

Answers

Answered by abhinav21701
0

Answer:

12

Step-by-step explanation:

here we can can apply pythogoras theorem.. take hypotenuse =20 perpendicular side =16 by Applying you will get the answer 12

Answered by nilesh102
14

Question:-

The length of rectangle is 16cm and diagonal is of 20cm find the breadth.

Solution:-

Given:-

1. length of rectangle are 16 cm and diagonal is of 20 cm respectively.

let, AB = CD = 16 cm and

AC = BD = 20 cm.

Find:-

1. Area of rectangle.

we know

The property of rectangle:-

1. interior angles of rectangle are of 90°.

2. opposite side of rectangle are equal.

3. diagonals of rectangle bisect each other at 90°.

4. both diagonals of rectangle are equal.

So now

To find length of side

we use Pythagoras theorem.

=> (AC)² = (AB)² + (BC)²

=> (20)² = (16)² + (BC)²

=> 400 = 256 + (BC)²

=> (BC)²= 400 - 256

=> (BC)² = 144

=> BC = √144

=> BC = 12 cm.

so BC = AD = 12 cm.

Hence breadth of rectangle

is 12 cm.

i hope it helps you.

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